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Finding the Fourth Proportional to 31,408.20, 44,029.80 and 31,408.20

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Solution

The fourth proportional to 31,408.20, 44,029.80 and 31,408.20 is: 44,029.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,408.20 : 44,029.80 = 31,408.20 : x
  2. Step 2: Convert to fraction form
    31,408.20/44,029.80 = 31,408.20/x
  3. Step 3: Cross multiply
    31,408.20x = 44,029.80 × 31,408.20
  4. Step 4: Simplify right side
    31,408.20x = 1,382,896,764.36
  5. Step 5: Solve for x
    x = 1,382,896,764.36/31,408.20
  6. Step 6: Final answer
    x = 44,029.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.